Can you really learn magic?

There are two types of "real magic".

One type is the Illusion form used by professional stage magicians. This one can be learned. The best way to start is to find a few books that teach simple slight of hand tricks and illusions. As you get better you can join clubs and groups that have stage magic as a commonality.

The other type of "real magic" is that practiced by those of us following any of hundreds of pagan spiritual paths.
The type of magic we practice isn't the sort of thing you see in movies, and television shows nor what you read about in "fiction" books. Our type of magic uses the mind and will to manipulate naturally occurring powers.
This is achieved through, meditation, self-hypnosis, spells and rituals.
Learning this kind of magic starts much as any study. You will need to find several books on the subject, written by reputable authors who follow and practice their spiritual path conscientiously. Read several of these books and then make an effort to find others who have similar interests.
Most communities have responsible, ethical groups that can help you in your studies and development as an ethical practitioner of magic.